Convert Gradians to Minutes Of Arc

Enter the angle in gradians below to get the value converted to minutes of arc.

Results in Minutes Of Arc:
Loading content.
1g = 54 arcmin

How to Convert Gradians to Minutes Of Arc

Protractors are often used to measure angle

To convert a gradian measurement to a minute of arc measurement, multiply the angle by the conversion ratio. One gradian is equal to 54 minutes of arc, so use this simple formula to convert:

minutes of arc = gradians × 54

The angle in minutes of arc is equal to the gradians multiplied by 54.

For example, here's how to convert 5 gradians to minutes of arc using the formula above.
5g = (5 × 54) = 270'

Gradians and minutes of arc are both units used to measure angle. Keep reading to learn more about each unit of measure.


A gradian is equal to 1/400 of a revolution or circle, or 9/10°. This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Right angles in gradians
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1g, 1 gr, or 1 grd.

Minutes Of Arc

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as arcmin, and are also sometimes abbreviated as MOA or amin. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

Gradian Measurements and Equivalent Minute Of Arc Conversions

Common gradian values converted to the equivalent minute of arc value
Gradians Minutes Of Arc
1g 54'
2g 108'
3g 162'
4g 216'
5g 270'
6g 324'
7g 378'
8g 432'
9g 486'
10g 540'
11g 594'
12g 648'
13g 702'
14g 756'
15g 810'
16g 864'
17g 918'
18g 972'
19g 1,026'
20g 1,080'
21g 1,134'
22g 1,188'
23g 1,242'
24g 1,296'
25g 1,350'
26g 1,404'
27g 1,458'
28g 1,512'
29g 1,566'
30g 1,620'
31g 1,674'
32g 1,728'
33g 1,782'
34g 1,836'
35g 1,890'
36g 1,944'
37g 1,998'
38g 2,052'
39g 2,106'
40g 2,160'

More Gradian Angle Conversions

Convert to Radians
1g is equal to 0.015708 radians
Convert to Milliradians
1g is equal to 15.707963 milliradians
Convert to Degrees
1g is equal to 0.9 degrees
Convert to Seconds Of Arc
1g is equal to 3,240 seconds of arc
Convert to Revolutions
1g is equal to 0.0025 revolutions
Convert to Circles
1g is equal to 0.0025 circles
Convert to Mils (NATO)
1g is equal to 16 mils (NATO)